Milan is drawing a triangle. One side has a length of 9 cm, and another side has a length of 6 units. What could be the length of the third side?

3 cm
7 cm
15 cm
18 cm

Answer:

To be situated on the sides of the Ruby (Surrounding the Ruby)

Step-by-step explanation:

Answer:

As can be observed, every term in the given sequence: 2, 4, 6, 8, ..., is an even positive integer, and is, therefore, a multiple of 2:

1st term: 2 = 2(1)

2nd term: 4 = 2(2)

3rd term: 6 = 2(3)

4th term: 8 = 2(4)

Additional terms:

5th term: 10 = 2(5)

6th term: 12 = 2(6)

7th term: 14 = 2(7)

8th term: 16 = 2(8)

Therefore, using this same pattern, we see that the nth term of the given sequence is: 2n, where n is a positive integer that indicates the desired term of the sequence. For example, the 500th term of the sequence is: 2n = 2(500) = 1,000.

Notice that we add 2 to each term in order to get to the next term.

Since we use addition, we have an arithmetic sequence.

Hence, the nth term is:-

n+2

Hope it helps!

Any queries - comment !

Answer:

x = 7

Step-by-step explanation:

the given angles are vertically opposite and are congruent , then

4x - 5 = x + 16 ( subtract x from both sides )

3x - 5 = 16 ( add 5 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Answer:

= 185 units²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height between the bases and b₁, b₂ the bases

here h = 10 , b₁ = 22 , b₂ = 22 - 7 = 15 , then

A = [tex]\frac{1}{2}[/tex] × 10 × (22 + 15) = 5 × 37 = 185 units²

Answer:

13,377 in one week

Step-by-step explanation:

2100*0.09=189

2100-189=1911

1911*7=13,377

~hope this helps~

To meet your goal, you should consume 13377 calories in one week.

Percentage refers to a number that is "out of one hundred." As with fractions and decimals, percentages are used in mathematics to represent subsets of a whole.

Given,

you currently consume about 2100 calories per day.

You want to reduce your daily calorie consumption by about 9%.

That means,

9% of 2100

= 9 x 2100 / 100

= 189 calories

To find the number of calories you should consume in one week to meet your goal:

Multiply by 7 to reduced consumption in one day.

7 x 189

= 1323 calories.

Now, subtraction;

One week of consumption - reduced consumption

= (2100 x 7) - 1323

= 13377

Therefore, in one week you should consume 13377 calories.

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Answer:

100

Step-by-step explanation:

Because 127 rounded is to 100, as if it goes over 150 then round it to 200 , but if it goes lower than 150 then it's 100.

Answer:

  a. 885,920

  b. year 8

Step-by-step explanation:

The population at a given time is described by the exponential formula ...

  P(t) = P0·e^(-0.04t)

where P0 is given as 1,000,000.

We are asked for the value of P(3). This ccan be found by substituting 3 for t in the equation and evaluating the numerical expression.

  P(3) = 1,000,000·e^(-0.04·3) = 1,000,000·e^(-0.12)

  P(3) ≈ 886,920

The population when t=3 is about 886,920.

__

We can put the given numbers in the equation and solve for t.

  750,000 = 1,000,000·e^(-0.04t)

  0.75 = e^(-0.04t) . . . . . divide by 1,000,000

  ln(0.75) = -0.04t . . . . . take the natural log

  -ln(0.75)/0.04 = t ≈ 7.192

The population will drop below 750,000 in year 8.

_____

Additional comment

These values can be confirmed by a graphing calculator.

Note that "year 1" is the year between t=0 and t=1. So, "year 8" is the year between t=7 and t=8.

Answer:

x = 24

Step-by-step explanation:

The formula for determining the sum of interior angles is:

[tex](n-2) * 180[/tex]

[tex]4 * 180 = 720[/tex]

Therefore to determine an equation for x, we must add up all the interior angle equations and set them equal to 720.

[tex](2x+3) +(3x+12) + (7x+14) + (9x+2) + (4x+8) + (3x+9) = 720\\28x + 48 = 720\\28x = 672\\x = 24[/tex]

The equation and answer above shows how to find x, which equals 24.

Answer:

45°

360÷8= 45

Mark me brainliest.

Answer:

Step-by-step explanation:

Time to complete each of jobs

Total time at job

If the work day lasts for 8 hours, then Lana has only 1/4 hr to travel between jobs and a lunch break.  

This time is not sufficient so she can't complete all the jobs.

Answer:

No (see explanation below)

Step-by-step explanation:

Approximate times to carry out each job:

For one Saturday, Lana needs to:

Therefore, the total time for the jobs is:

[tex]\begin{aligned}\sf Total\:time & = \sf 3\:small\:lawns+1\:large\:lawn+2\:tidy\:yards+1\:plant\:annuals\\\\& = \sf 3 \cdot \dfrac{1}{2}+\dfrac{3}{4}+2 \cdot 1 \frac{1}{2}+2\frac{1}{2}\\\\& = \sf 1 \frac{1}{2}+\dfrac{3}{4}+3+2\frac{1}{2}\\\\& =\sf 7 \frac{3}{4}\: hours\end{aligned}[/tex]

The likelihood of Lana being able to complete all the jobs in one day is dependent on how far she needs to travel between jobs and how long she wishes to break for lunch.  A typical working day is around 8 hours. Therefore, unless Lana wishes to work for a longer day, it is unlikely she will be able to complete all of the jobs in one day as there is only 15 minutes available for traveling and lunch, which is likely not enough.

Answer:

[tex]\pi[/tex] is infinite. 3.14 only has three numbers.

Step-by-step explanation:

so [tex]\pi[/tex] multiplied by any number (except 0) will have infinite numbers

Answer:

See below ↓

Step-by-step explanation:

When multiplying a number by 3.14, which is the simplified version of pi, it will give a constant term. But, when multiplying by π, the actual value is equal to 22/7, and it is a non-terminating decimal. Therefore, when you multiply any number with 3.14, it will be slightly lesser than when you multiply with π.

Answer:

kya- y= 100·(0.8)^t

chase= 100-18t

Step-by-step explanation:

I did the work on imagine math

The exponential function that fits the data is y= 100·(0.8)^t

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

We are given that Mrs. Evans gave her class a 100-page reading assignment.

Since 2 days, Kya and Chase each have 64 pages left to read.

Each student writes a function f(t) to model the pages left to read, where t is the number of days since the assignment was given.

Kya writes an exponential function that fits the data as;

y= 100·(0.8)^t

Chase writes a linear function that fits the data as;

chase= 100-18t

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18 inch²

Step-by-step explanation:

The same formula of triangle

1/2(12×6)

18 inch²

Answer:

63in^2

Step-by-step explanation:

base=18in

height=7in

Area=b*h*1/2

=18*7*1/2

=63in^2

Answer:

a=b sinα

sinβ=5·sin(22°)

sin(119°)≈2.14154

a=b sinα

sinβ=12·sin(48°)

sin(42°)≈13.32735

Step-by-step explanation:

I think this is correct but i am most likely wrong, Im not that great at math

Answer:

( SOLVE FOR h )

Step-by-step explanation:

THE FORMULA:

a = b [tex]\frac{sin A}{sin B}[/tex]

---------

b = 12

sin a = 48

sin B = 42

--------

12 × [tex]\frac{sin 48}{sin 42}[/tex]

ANSWER =

h = 13.33

----------------------------------------

SOLVE FOR x AND y

I'M NOT SURE.......

x = 2.14

b = 5

Answer:

$58,930

Step-by-step explanation:

y=mx+b

starting value (b) = $50,180

rate of increase (m) = 1750

number of years (x) = 5

y= (1750)(5) + 50180

y= 8750 + 50180

y= 58930

Answer:

Chose Cosine

Step-by-step explanation:

This is because cos = adj/hyp

Hope this helps!!!

Answer:

76

Step-by-step explanation:

The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. If there are 2 numbers in the middle, the median is the average of those 2 numbers.

Answer:

40, or if you need it unrounded 40.3

Step-by-step explanation:

Answer:

231.1 gm

Step-by-step explanation:

1040 J / .9 j/(gm-C)   / 5C = 231.1 gm

The mass of the metal is 231.111 gram.

The specific heat capacity of a substance is the heat capacity of a sample of the substance divided by its mass, also known as massic heat capacity.

The formula for heat is given by the formula,

Q = mC(ΔT)

Given the metal has a specific heat of 0.900 J/g °C requires 1,040 J of heat to raise the temperature (the change in temperature) by 5 °C. Therefore, we can write,

Q = mC(ΔT)

1,040 = m × 0.900 × 5

m = 1040/(0.900×5)

m = 231.111 g

Hence, the mass of the metal is 231.111 gram.

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The scatterplot that represents Bryson's data is the scatterplot that is downward sloping.

Correlation is a statistical measure used to measure the relationship that exists between two variables.

Negative correlation means that the two variables move in opposite directions. If one variable increases, the other variable decreases. When there is a negative correlation, the graph of the variables is downward sloping

Please find attached the graph representing the negative correlation. To learn more about negative correlation, please check: https://brainly.com/question/14436361

Answer:

X= (-c+b)÷b

or

X= -b×(c-b)

Step-by-step explanation:

C=b-bx

b-bx=c

-bx= c-b

-x=(c-b)÷b

x= -(c-b)÷b

or

-x= b×(c-b)

x= -b×(c-b)

Answer:

-6, -5, -1

Step-by-step explanation:

Based on the question, (x+6) is a factor of f(x).

With this, you can do the long division method of dividing f(x) with (x+6) {Refer to the image}.

You'll get x²+6x+5 as a result.

Factorise it and you'll get

x²+6x+5 = (x+1)(x+5)

Then let (x+1)(x+5) = 0, x = -1, -5

Zero's of f(x) are -6, -5 -1

[tex]\text{Given that,}\\\\f(x) = x^3 +12x^2 +41x +30~~ \text{and} ~~ f(-6)=0\\\\\text{Since f(x)=0 when x = -6,}~ ~x-6 ~\text{is a factor of f(x).}\\\\x^3+12x^2+41x+30 = 0\\\\\implies x^3+6x^2+6x^2+36x+5x+30=0\\\\\implies x^2(x+6) +6x (x+6) +5(x+6)=0\\\\\implies (x+6)(x^2+6x+5)=0\\\\\implies (x+6)(x^2+5x+x+5)=0\\\\\implies (x+6)\textbf{[}x(x+5)+(x+5)\textbf{]}=0\\\\\implies (x+6)(x+1)(x+5)=0\\\\\text{Hence the roots are,}~ x = -6,~ x=-1~ \text{and}~ x = -5[/tex]

Answer:  Yes

Step-by-step explanation:

I hope this makes sense!  : )

Answer:

87.9 in³

Step-by-step explanation:

Volume of the can

Volume of 3 tennis balls

Remaining space

Answer:

Y= -20

Step-by-step explanation:

if y=-5 when x=2 find y when x=8

8 /2 = 4

=> x = 2 * 4 => x = 8 Answer

y = -5 * 4 =>

y= -20

Answer:

$57.60

Step-by-step explanation:

The first thing you want to do is convert 24% to a decimal. To do this you just need to take the current decimal place and move it 2 places to the left. Since this percentage is a whole number the decimal is just after the 4.

(0.24)

Multiply that decimal by the number you want to find the percentage of

$240 * .24 = $57.60

Answer:

Step-by-step explanation: